A hand exerts a constant horizontal force on a block that is free to slide on a frictionless surface (Fig. 6-30). The block starts from rest at point A, and by the time it has traveled a distance d to point B it is traveling with speed When the block has traveled another distance d to point C, will its speed be greater than, less than, or equal to Explain your reasoning.

Step-by-step solution

Step 1 of 3:

A hand exerts a constant horizontal force on a block that is free to slide on a frictionless surface as shown in the below figure.

Step 2 of 3:

Let the constant force applied on the block be F.

At the point a , the speed of the block,

The work - energy theorem states that the work done in displacing the block from the point a to the point b will be equal to the change of its kinetic energy.

Similarly work done in displacing the block from the point A to the point C will be equal to the change of its kinetic energy: